{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Modeling Neighborhood Dynamics\n",
    "\n",
    "We will use the Columbus MSA as an example to illustrate the `dynamics` module of `geosnap`.\n",
    "\n",
    "* Modeling transition rates between neighborhood types across time\n",
    "* Analyzing whole neighborhood sequence"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data preperation\n",
    "\n",
    "* Geodemographics for neighborhood segamentation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from geosnap import Community\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import seaborn as sns\n",
    "import sys, os\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "columbus = Community.from_ltdb(msa_fips='18140')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "columbus1 = columbus.cluster(columns=['median_household_income', \n",
    "                                      'p_poverty_rate', \n",
    "                                      'p_edu_college_greater', \n",
    "                                      'p_unemployment_rate'], \n",
    "                             method='ward')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
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       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>year</th>\n",
       "      <th>geoid</th>\n",
       "      <th>n_asian_under_15</th>\n",
       "      <th>n_black_under_15</th>\n",
       "      <th>n_hispanic_under_15</th>\n",
       "      <th>n_native_under_15</th>\n",
       "      <th>n_white_under_15</th>\n",
       "      <th>n_persons_under_18</th>\n",
       "      <th>n_asian_over_60</th>\n",
       "      <th>n_black_over_60</th>\n",
       "      <th>...</th>\n",
       "      <th>n_total_housing_units_sample</th>\n",
       "      <th>p_nonhisp_white_persons</th>\n",
       "      <th>p_white_over_60</th>\n",
       "      <th>p_black_over_60</th>\n",
       "      <th>p_hispanic_over_60</th>\n",
       "      <th>p_native_over_60</th>\n",
       "      <th>p_asian_over_60</th>\n",
       "      <th>p_disabled</th>\n",
       "      <th>geometry</th>\n",
       "      <th>ward</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1970</td>\n",
       "      <td>39041010100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>73.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1238.000000</td>\n",
       "      <td>1483.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>32.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>2001.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.114495</td>\n",
       "      <td>0.451213</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.244219</td>\n",
       "      <td>POLYGON ((-83.082292 40.29946, -83.082549 40.3...</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1970</td>\n",
       "      <td>39041010200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.472672</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1426.479469</td>\n",
       "      <td>1599.197822</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.387974</td>\n",
       "      <td>...</td>\n",
       "      <td>1529.132207</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.308566</td>\n",
       "      <td>0.120177</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.510786</td>\n",
       "      <td>POLYGON ((-83.071978 40.327509, -83.02909 40.3...</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1970</td>\n",
       "      <td>39041010420</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.505399</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>126.788033</td>\n",
       "      <td>147.696350</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.167267</td>\n",
       "      <td>...</td>\n",
       "      <td>126.286232</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.413255</td>\n",
       "      <td>0.042212</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.292529</td>\n",
       "      <td>POLYGON ((-83.09434499999999 40.328399, -83.09...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1970</td>\n",
       "      <td>39041010421</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.095593</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>92.273573</td>\n",
       "      <td>107.490183</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.121733</td>\n",
       "      <td>...</td>\n",
       "      <td>91.908363</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.413270</td>\n",
       "      <td>0.042212</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.292555</td>\n",
       "      <td>POLYGON ((-83.126183 40.306402, -83.1249409999...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1970</td>\n",
       "      <td>39041010422</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.941651</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>247.761943</td>\n",
       "      <td>288.619354</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.326855</td>\n",
       "      <td>...</td>\n",
       "      <td>246.780934</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.413450</td>\n",
       "      <td>0.042211</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.292857</td>\n",
       "      <td>POLYGON ((-83.12404599999999 40.330013, -83.11...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 195 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   year        geoid  n_asian_under_15  n_black_under_15  n_hispanic_under_15  \\\n",
       "0  1970  39041010100               NaN         73.000000                  NaN   \n",
       "1  1970  39041010200               NaN          5.472672                  NaN   \n",
       "2  1970  39041010420               NaN          1.505399                  NaN   \n",
       "3  1970  39041010421               NaN          1.095593                  NaN   \n",
       "4  1970  39041010422               NaN          2.941651                  NaN   \n",
       "\n",
       "   n_native_under_15  n_white_under_15  n_persons_under_18  n_asian_over_60  \\\n",
       "0                NaN       1238.000000         1483.000000              NaN   \n",
       "1                NaN       1426.479469         1599.197822              NaN   \n",
       "2                NaN        126.788033          147.696350              NaN   \n",
       "3                NaN         92.273573          107.490183              NaN   \n",
       "4                NaN        247.761943          288.619354              NaN   \n",
       "\n",
       "   n_black_over_60  ...  n_total_housing_units_sample  \\\n",
       "0        32.000000  ...                   2001.000000   \n",
       "1         5.387974  ...                   1529.132207   \n",
       "2         0.167267  ...                    126.286232   \n",
       "3         0.121733  ...                     91.908363   \n",
       "4         0.326855  ...                    246.780934   \n",
       "\n",
       "   p_nonhisp_white_persons  p_white_over_60  p_black_over_60  \\\n",
       "0                      NaN        14.114495         0.451213   \n",
       "1                      NaN        12.308566         0.120177   \n",
       "2                      NaN         9.413255         0.042212   \n",
       "3                      NaN         9.413270         0.042212   \n",
       "4                      NaN         9.413450         0.042211   \n",
       "\n",
       "   p_hispanic_over_60  p_native_over_60  p_asian_over_60  p_disabled  \\\n",
       "0                 NaN               NaN              NaN    4.244219   \n",
       "1                 NaN               NaN              NaN    8.510786   \n",
       "2                 NaN               NaN              NaN    3.292529   \n",
       "3                 NaN               NaN              NaN    3.292555   \n",
       "4                 NaN               NaN              NaN    3.292857   \n",
       "\n",
       "                                            geometry  ward  \n",
       "0  POLYGON ((-83.082292 40.29946, -83.082549 40.3...     3  \n",
       "1  POLYGON ((-83.071978 40.327509, -83.02909 40.3...     1  \n",
       "2  POLYGON ((-83.09434499999999 40.328399, -83.09...     0  \n",
       "3  POLYGON ((-83.126183 40.306402, -83.1249409999...     0  \n",
       "4  POLYGON ((-83.12404599999999 40.330013, -83.11...     0  \n",
       "\n",
       "[5 rows x 195 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "columbus1.gdf.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Estimating the transition rates between neighborhood types"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Nonspatial transition rates - Classic Markov modeling of transitions "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "giddy.markov.Markov"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m = columbus1.transition(cluster_col=\"ward\")\n",
    "type(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.79189189, 0.00540541, 0.0027027 , 0.13243243, 0.06216216,\n",
       "        0.00540541],\n",
       "       [0.0203252 , 0.75609756, 0.10569106, 0.11382114, 0.        ,\n",
       "        0.00406504],\n",
       "       [0.00917431, 0.20183486, 0.75229358, 0.01834862, 0.        ,\n",
       "        0.01834862],\n",
       "       [0.1959799 , 0.18341709, 0.00251256, 0.61809045, 0.        ,\n",
       "        0.        ],\n",
       "       [0.32307692, 0.        , 0.        , 0.        , 0.66153846,\n",
       "        0.01538462],\n",
       "       [0.09375   , 0.0625    , 0.        , 0.        , 0.        ,\n",
       "        0.84375   ]])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m.p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set()\n",
    "fig, ax = plt.subplots(1,1,figsize = (5,4)) \n",
    "im=sns.heatmap(m.p, annot=True, linewidths=.5, cbar=True, vmin=0, vmax=1,\n",
    "              square=True, xticklabels= m.classes, yticklabels=m.classes, ax=ax)\n",
    "im.set_title(\"Empircal transition rates\",fontsize=14) \n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Spatially conditional transition rates - Spatial Markov modeling of transitions "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "np.random.seed(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "giddy.markov.Spatial_Markov"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm = columbus1.transition(cluster_col=\"ward\", w_type=\"queen\")\n",
    "type(sm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.79189189, 0.00540541, 0.0027027 , 0.13243243, 0.06216216,\n",
       "        0.00540541],\n",
       "       [0.0203252 , 0.75609756, 0.10569106, 0.11382114, 0.        ,\n",
       "        0.00406504],\n",
       "       [0.00917431, 0.20183486, 0.75229358, 0.01834862, 0.        ,\n",
       "        0.01834862],\n",
       "       [0.1959799 , 0.18341709, 0.00251256, 0.61809045, 0.        ,\n",
       "        0.        ],\n",
       "       [0.32307692, 0.        , 0.        , 0.        , 0.66153846,\n",
       "        0.01538462],\n",
       "       [0.09375   , 0.0625    , 0.        , 0.        , 0.        ,\n",
       "        0.84375   ]])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.82413793, 0.        , 0.        , 0.10689655, 0.06896552,\n",
       "        0.        ],\n",
       "       [0.25      , 0.5       , 0.125     , 0.125     , 0.        ,\n",
       "        0.        ],\n",
       "       [0.5       , 0.        , 0.5       , 0.        , 0.        ,\n",
       "        0.        ],\n",
       "       [0.23809524, 0.0952381 , 0.        , 0.66666667, 0.        ,\n",
       "        0.        ],\n",
       "       [0.21621622, 0.        , 0.        , 0.        , 0.75675676,\n",
       "        0.02702703],\n",
       "       [0.16666667, 0.        , 0.        , 0.        , 0.        ,\n",
       "        0.83333333]])"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.P[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.82413793, 0.        , 0.        , 0.10689655, 0.06896552,\n",
       "        0.        ],\n",
       "       [0.25      , 0.5       , 0.125     , 0.125     , 0.        ,\n",
       "        0.        ],\n",
       "       [0.5       , 0.        , 0.5       , 0.        , 0.        ,\n",
       "        0.        ],\n",
       "       [0.23809524, 0.0952381 , 0.        , 0.66666667, 0.        ,\n",
       "        0.        ],\n",
       "       [0.21621622, 0.        , 0.        , 0.        , 0.75675676,\n",
       "        0.02702703],\n",
       "       [0.16666667, 0.        , 0.        , 0.        , 0.        ,\n",
       "        0.83333333]])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.P[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x864 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(3,3,figsize = (13,12)) \n",
    "ls = sm.classes\n",
    "lags_all = [\"Spatial Lag - \"+str(l)  for l in ls]\n",
    "for i in range(3):\n",
    "    for j in range(3):\n",
    "        ax = axes[i,j]\n",
    "        if i==0 and j==0:\n",
    "            p_temp = sm.p\n",
    "            sns.heatmap(p_temp, annot=True, linewidths=.5, ax=ax, cbar=True, vmin=0, vmax=1,\n",
    "                      square=True, xticklabels= ls, yticklabels=ls)\n",
    "            ax.set_title(\"Global\",fontsize=14) \n",
    "        # Loop over data dimensions and create text annotations.\n",
    "        else:\n",
    "            n = i*3+j-1\n",
    "            if n>=len(sm.classes):\n",
    "                ax.axis('off')\n",
    "                continue\n",
    "                \n",
    "            p_temp = sm.P[n]\n",
    "            im=sns.heatmap(p_temp, annot=True, linewidths=.5, ax=ax, cbar=True, vmin=0, vmax=1,\n",
    "                          square=True, xticklabels= ls, yticklabels=ls)\n",
    "\n",
    "            ax.set_title(lags_all[n],fontsize=14) \n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Whole sequence analysis\n",
    "\n",
    "* evaluate the distance/disimilarity between every pair of neighborhood sequences based on a selected sequence method\n",
    "* apply clustering algorithms to obtain a segmentation of neighborhood sequences"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (1) Comparing sequences of transitions.\n",
    "\n",
    "transition-oriented optimal matching."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 5., 1., ..., 3., 3., 5.],\n",
       "       [5., 0., 5., ..., 2., 2., 0.],\n",
       "       [1., 5., 0., ..., 3., 3., 5.],\n",
       "       ...,\n",
       "       [3., 2., 3., ..., 0., 0., 2.],\n",
       "       [3., 2., 3., ..., 0., 0., 2.],\n",
       "       [5., 0., 5., ..., 2., 2., 0.]])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Use the sequence method to obtain the distance matrix of neighborhood sequences\n",
    "gdf_new, df_wide, seq_dis_mat = columbus1.sequence(seq_clusters=5,\n",
    "                                                   dist_type=\"tran\",\n",
    "                                                   cluster_col=\"ward\")\n",
    "seq_dis_mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>year</th>\n",
       "      <th>1970</th>\n",
       "      <th>1980</th>\n",
       "      <th>1990</th>\n",
       "      <th>2000</th>\n",
       "      <th>2010</th>\n",
       "      <th>tran_5</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>geoid</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>39041010100</th>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39041010200</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39041010420</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39041010421</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39041010422</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "year         1970  1980  1990  2000  2010  tran_5\n",
       "geoid                                            \n",
       "39041010100     3     3     0     2     3       1\n",
       "39041010200     1     3     3     3     3       3\n",
       "39041010420     0     0     3     0     3       1\n",
       "39041010421     0     0     3     3     0       1\n",
       "39041010422     0     0     3     3     0       1"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_wide.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3, 3, 0, 2, 3, 1])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_wide.values[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from geosnap.visualize import indexplot_seq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 7 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "indexplot_seq(df_wide, clustering=\"tran_5\", palette=\"pastel\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (2) Hamming distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 3., 4., ..., 4., 4., 3.],\n",
       "       [3., 0., 3., ..., 2., 2., 0.],\n",
       "       [4., 3., 0., ..., 4., 4., 3.],\n",
       "       ...,\n",
       "       [4., 2., 4., ..., 0., 0., 2.],\n",
       "       [4., 2., 4., ..., 0., 0., 2.],\n",
       "       [3., 0., 3., ..., 2., 2., 0.]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gdf_new, df_wide, seq_dis_mat = columbus1.sequence(seq_clusters=8,dist_type=\"hamming\", cluster_col=\"ward\")\n",
    "seq_dis_mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "indexplot_seq(df_wide, clustering=\"hamming_8\", palette=\"pastel\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Change the number of clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 3., 4., ..., 4., 4., 3.],\n",
       "       [3., 0., 3., ..., 2., 2., 0.],\n",
       "       [4., 3., 0., ..., 4., 4., 3.],\n",
       "       ...,\n",
       "       [4., 2., 4., ..., 0., 0., 2.],\n",
       "       [4., 2., 4., ..., 0., 0., 2.],\n",
       "       [3., 0., 3., ..., 2., 2., 0.]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gdf_new, df_wide, seq_dis_mat = columbus1.sequence(seq_clusters=5,dist_type=\"hamming\", cluster_col=\"ward\")\n",
    "seq_dis_mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3, 3, 0, 2, 3, 2])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_wide.values[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 7 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "indexplot_seq(df_wide, clustering=\"hamming_5\", palette=\"pastel\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (3) Arbitrary distance\n",
    "\n",
    " substitution=0.5, indel=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>year</th>\n",
       "      <th>1970</th>\n",
       "      <th>1980</th>\n",
       "      <th>1990</th>\n",
       "      <th>2000</th>\n",
       "      <th>2010</th>\n",
       "      <th>arbitrary_5</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>geoid</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>39041010100</th>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39041010200</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39041010420</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39041010421</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39041010422</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "year         1970  1980  1990  2000  2010  arbitrary_5\n",
       "geoid                                                 \n",
       "39041010100     3     3     0     2     3            2\n",
       "39041010200     1     3     3     3     3            4\n",
       "39041010420     0     0     3     0     3            2\n",
       "39041010421     0     0     3     3     0            2\n",
       "39041010422     0     0     3     3     0            2"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gdf_new, df_wide, seq_dis_mat = columbus1.sequence(seq_clusters=5,\n",
    "                                                   dist_type=\"arbitrary\", cluster_col=\"ward\")\n",
    "df_wide.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 7 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "indexplot_seq(df_wide, clustering=\"arbitrary_5\", palette=\"pastel\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
